Type:	Package
Title:	Perform Inference on Algorithm-Agnostic Variable Importance
Version:	2.3.3
Description:	Calculate point estimates of and valid confidence intervals for nonparametric, algorithm-agnostic variable importance measures in high and low dimensions, using flexible estimators of the underlying regression functions. For more information about the methods, please see Williamson et al. (Biometrics, 2020), Williamson et al. (JASA, 2021), and Williamson and Feng (ICML, 2020).
Depends:	R (≥ 3.1.0)
Imports:	SuperLearner, stats, dplyr, magrittr, ROCR, tibble, rlang, MASS, boot, data.table
Suggests:	knitr, rmarkdown, gam, xgboost, glmnet, ranger, polspline, quadprog, covr, testthat, ggplot2, cowplot, cvAUC, tidyselect, WeightedROC, purrr
License:	MIT + file LICENSE
URL:	https://bdwilliamson.github.io/vimp/, https://github.com/bdwilliamson/vimp, http://bdwilliamson.github.io/vimp/
BugReports:	https://github.com/bdwilliamson/vimp/issues
RoxygenNote:	7.2.3
VignetteBuilder:	knitr
LazyData:	true
Encoding:	UTF-8
NeedsCompilation:	no
Packaged:	2023-08-28 20:36:55 UTC; L107067
Author:	Brian D. Williamson [aut, cre], Jean Feng [ctb], Charlie Wolock [ctb], Noah Simon [ths], Marco Carone [ths]
Maintainer:	Brian D. Williamson <brian.d.williamson@kp.org>
Repository:	CRAN
Date/Publication:	2023-08-28 21:10:02 UTC

vimp: Perform Inference on Algorithm-Agnostic Intrinsic Variable Importance

Description

A unified framework for valid statistical inference on algorithm-agnostic measures of intrinsic variable importance. You provide the data, a method for estimating the conditional mean of the outcome given the covariates, choose a variable importance measure, and specify variable(s) of interest; 'vimp' takes care of the rest.

Author(s)

Maintainer: Brian Williamson https://bdwilliamson.github.io/ Contributors: Jean Feng https://www.jeanfeng.com, Charlie Wolock https://cwolock.github.io/

Methodology authors:

• Brian D. Williamson

• Jean Feng

• Peter B. Gilbert

• Noah R. Simon

• Marco Carone

See Also

Manuscripts:

• doi:10.1111/biom.13392 (R-squared-based variable importance)

• doi:10.1111/biom.13389 (Rejoinder to discussion on R-squared-based variable importance article)

• http://proceedings.mlr.press/v119/williamson20a.html (general Shapley-based variable importance)

• doi:10.1080/01621459.2021.2003200 (general variable importance)

Other useful links:

• https://bdwilliamson.github.io/vimp/

• https://github.com/bdwilliamson/vimp

• Report bugs at https://github.com/bdwilliamson/vimp/issues

Imports

The packages that we import either make the internal code nice (dplyr, magrittr, tibble, rlang, MASS, data.table), are directly relevant to estimating the conditional mean (SuperLearner) or predictiveness measures (ROCR), or are necessary for hypothesis testing (stats) or confidence intervals (boot, only for bootstrap intervals).

We suggest several other packages: xgboost, ranger, gam, glmnet, polspline, and quadprog allow a flexible library of candidate learners in the Super Learner; ggplot2 and cowplot help with plotting variable importance estimates; testthat, WeightedROC, cvAUC, and covr help with unit tests; and knitr, rmarkdown, and tidyselect help with the vignettes and examples.

Author(s)

Maintainer: Brian D. Williamson brian.d.williamson@kp.org (ORCID)

Other contributors:

• Jean Feng [contributor]

• Charlie Wolock [contributor]

• Noah Simon (ORCID) [thesis advisor]

• Marco Carone (ORCID) [thesis advisor]

See Also

Useful links:

• https://bdwilliamson.github.io/vimp/

• https://github.com/bdwilliamson/vimp

• http://bdwilliamson.github.io/vimp/

• Report bugs at https://github.com/bdwilliamson/vimp/issues

Average multiple independent importance estimates

Description

Average the output from multiple calls to vimp_regression, for different independent groups, into a single estimate with a corresponding standard error and confidence interval.

Usage

average_vim(..., weights = rep(1/length(list(...)), length(list(...))))

Arguments

Value

an object of class vim containing the (weighted) average of the individual importance estimates, as well as the appropriate standard error and confidence interval. This results in a list containing:

• s - a list of the column(s) to calculate variable importance for

• SL.library - a list of the libraries of learners passed to SuperLearner

• full_fit - a list of the fitted values of the chosen method fit to the full data

• red_fit - a list of the fitted values of the chosen method fit to the reduced data

• est- a vector with the corrected estimates

• naive- a vector with the naive estimates

• update- a list with the influence curve-based updates

• mat - a matrix with the estimated variable importance, the standard error, and the (1-\alpha) \times 100% confidence interval

• full_mod - a list of the objects returned by the estimation procedure for the full data regression (if applicable)

• red_mod - a list of the objects returned by the estimation procedure for the reduced data regression (if applicable)

• alpha - the level, for confidence interval calculation

• y - a list of the outcomes

Examples

# generate the data
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- smooth + stats::rnorm(n, 0, 1)

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# get estimates on independent splits of the data
samp <- sample(1:n, n/2, replace = FALSE)

# using Super Learner (with a small number of folds, for illustration only)
est_2 <- vimp_regression(Y = y[samp], X = x[samp, ], indx = 2, V = 2,
           run_regression = TRUE, alpha = 0.05,
           SL.library = learners, cvControl = list(V = 2))

est_1 <- vimp_regression(Y = y[-samp], X = x[-samp, ], indx = 2, V = 2,
           run_regression = TRUE, alpha = 0.05,
           SL.library = learners, cvControl = list(V = 2))

ests <- average_vim(est_1, est_2, weights = c(1/2, 1/2))

Compute bootstrap-based standard error estimates for variable importance

Description

Compute bootstrap-based standard error estimates for variable importance

Usage

bootstrap_se(
  Y = NULL,
  f1 = NULL,
  f2 = NULL,
  cluster_id = NULL,
  clustered = FALSE,
  type = "r_squared",
  b = 1000,
  boot_interval_type = "perc",
  alpha = 0.05
)

Arguments

Value

a bootstrap-based standard error estimate

Check pre-computed fitted values for call to vim, cv_vim, or sp_vim

Description

Check pre-computed fitted values for call to vim, cv_vim, or sp_vim

Usage

check_fitted_values(
  Y = NULL,
  f1 = NULL,
  f2 = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  sample_splitting_folds = NULL,
  cross_fitting_folds = NULL,
  cross_fitted_se = TRUE,
  V = NULL,
  ss_V = NULL,
  cv = FALSE
)

Arguments

Details

Ensure that inputs to vim, cv_vim, and sp_vim follow the correct formats.

Value

None. Called for the side effect of stopping the algorithm if any inputs are in an unexpected format.

Check inputs to a call to vim, cv_vim, or sp_vim

Description

Check inputs to a call to vim, cv_vim, or sp_vim

Usage

check_inputs(Y, X, f1, f2, indx)

Arguments

Details

Ensure that inputs to vim, cv_vim, and sp_vim follow the correct formats.

Value

None. Called for the side effect of stopping the algorithm if any inputs are in an unexpected format.

Create complete-case outcome, weights, and Z

Description

Create complete-case outcome, weights, and Z

Usage

create_z(Y, C, Z, X, ipc_weights)

Arguments

Value

a list, with the complete-case outcome, weights, and Z matrix

Nonparametric Intrinsic Variable Importance Estimates and Inference using Cross-fitting

Description

Compute estimates and confidence intervals using cross-fitting for nonparametric intrinsic variable importance based on the population-level contrast between the oracle predictiveness using the feature(s) of interest versus not.

Usage

cv_vim(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  f1 = NULL,
  f2 = NULL,
  indx = 1,
  V = ifelse(is.null(cross_fitting_folds), 5, length(unique(cross_fitting_folds))),
  sample_splitting = TRUE,
  final_point_estimate = "split",
  sample_splitting_folds = NULL,
  cross_fitting_folds = NULL,
  stratified = FALSE,
  type = "r_squared",
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  scale = "identity",
  na.rm = FALSE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_scale = "identity",
  ipc_weights = rep(1, length(Y)),
  ipc_est_type = "aipw",
  scale_est = TRUE,
  nuisance_estimators_full = NULL,
  nuisance_estimators_reduced = NULL,
  exposure_name = NULL,
  cross_fitted_se = TRUE,
  bootstrap = FALSE,
  b = 1000,
  boot_interval_type = "perc",
  clustered = FALSE,
  cluster_id = rep(NA, length(Y)),
  ...
)

Arguments

Details

We define the population variable importance measure (VIM) for the group of features (or single feature) s with respect to the predictiveness measure V by

\psi_{0,s} := V(f_0, P_0) - V(f_{0,s}, P_0),

where f_0 is the population predictiveness maximizing function, f_{0,s} is the population predictiveness maximizing function that is only allowed to access the features with index not in s, and P_0 is the true data-generating distribution.

Cross-fitted VIM estimates are computed differently if sample-splitting is requested versus if it is not. We recommend using sample-splitting in most cases, since only in this case will inferences be valid if the variable(s) of interest have truly zero population importance. The purpose of cross-fitting is to estimate f_0 and f_{0,s} on independent data from estimating P_0; this can result in improved performance, especially when using flexible learning algorithms. The purpose of sample-splitting is to estimate f_0 and f_{0,s} on independent data; this allows valid inference under the null hypothesis of zero importance.

Without sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator P_{n,k} of P_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{V(f_{n,k},P_{n,k}) - V(f_{n,k,s}, P_{n,k})\}.

With sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into 2K folds. These folds are further divided into 2 groups of folds. Then, for each fold k in the first group, estimator f_{n,k} of f_0 is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k} = V(f_{n,k},P_{n,k}).

Similarly, for each fold k in the second group, estimator f_{n,k,s} of f_{0,s} is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k,s} = V(f_{n,k,s},P_{n,k}).

Finally,

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{v_{n,k} - v_{n,k,s}\}.

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind the cv_vim function, and the validity of the confidence intervals.

In the interest of transparency, we return most of the calculations within the vim object. This results in a list including:

s

the column(s) to calculate variable importance for

SL.library

the library of learners passed to SuperLearner

full_fit

the fitted values of the chosen method fit to the full data (a list, for train and test data)

red_fit

the fitted values of the chosen method fit to the reduced data (a list, for train and test data)

est

the estimated variable importance

naive

the naive estimator of variable importance

eif

the estimated efficient influence function

eif_full

the estimated efficient influence function for the full regression

eif_reduced

the estimated efficient influence function for the reduced regression

se

the standard error for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence interval for the variable importance estimate

test

a decision to either reject (TRUE) or not reject (FALSE) the null hypothesis, based on a conservative test

p_value

a p-value based on the same test as test

full_mod

the object returned by the estimation procedure for the full data regression (if applicable)

red_mod

the object returned by the estimation procedure for the reduced data regression (if applicable)

alpha

the level, for confidence interval calculation

sample_splitting_folds

the folds used for hypothesis testing

cross_fitting_folds

the folds used for cross-fitting

y

the outcome

ipc_weights

the weights

cluster_id

the cluster IDs

mat

a tibble with the estimate, SE, CI, hypothesis testing decision, and p-value

Value

An object of class vim. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

n <- 100
p <- 2
# generate the data
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- as.matrix(smooth + stats::rnorm(n, 0, 1))

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm")

# -----------------------------------------
# using Super Learner (with a small number of folds, for illustration only)
# -----------------------------------------
set.seed(4747)
est <- cv_vim(Y = y, X = x, indx = 2, V = 2,
type = "r_squared", run_regression = TRUE,
SL.library = learners, cvControl = list(V = 2), alpha = 0.05)

# ------------------------------------------
# doing things by hand, and plugging them in
# (with a small number of folds, for illustration only)
# ------------------------------------------
# set up the folds
indx <- 2
V <- 2
Y <- matrix(y)
set.seed(4747)
# Note that the CV.SuperLearner should be run with an outer layer
# of 2*V folds (for V-fold cross-fitted importance)
full_cv_fit <- suppressWarnings(SuperLearner::CV.SuperLearner(
Y = Y, X = x, SL.library = learners, cvControl = list(V = 2 * V),
innerCvControl = list(list(V = V))
))
full_cv_preds <- full_cv_fit$SL.predict
# use the same cross-fitting folds for reduced
reduced_cv_fit <- suppressWarnings(SuperLearner::CV.SuperLearner(
    Y = Y, X = x[, -indx, drop = FALSE], SL.library = learners,
    cvControl = SuperLearner::SuperLearner.CV.control(
        V = 2 * V, validRows = full_cv_fit$folds
    ),
    innerCvControl = list(list(V = V))
))
reduced_cv_preds <- reduced_cv_fit$SL.predict
# for hypothesis testing
cross_fitting_folds <- get_cv_sl_folds(full_cv_fit$folds)
set.seed(1234)
sample_splitting_folds <- make_folds(unique(cross_fitting_folds), V = 2)
set.seed(5678)
est <- cv_vim(Y = y, cross_fitted_f1 = full_cv_preds,
cross_fitted_f2 = reduced_cv_preds, indx = 2, delta = 0, V = V, type = "r_squared",
cross_fitting_folds = cross_fitting_folds,
sample_splitting_folds = sample_splitting_folds,
run_regression = FALSE, alpha = 0.05, na.rm = TRUE)

Estimate a nonparametric predictiveness functional

Description

Compute nonparametric estimates of the chosen measure of predictiveness.

Usage

est_predictiveness(
  fitted_values,
  y,
  a = NULL,
  full_y = NULL,
  type = "r_squared",
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(C)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(C)),
  ipc_est_type = "aipw",
  scale = "identity",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  ...
)

Arguments

Details

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function and the definition of the parameter of interest.

Value

A list, with: the estimated predictiveness; the estimated efficient influence function; and the predictions of the EIF based on inverse probability of censoring.

Estimate a nonparametric predictiveness functional using cross-fitting

Description

Compute nonparametric estimates of the chosen measure of predictiveness.

Usage

est_predictiveness_cv(
  fitted_values,
  y,
  full_y = NULL,
  folds,
  type = "r_squared",
  C = rep(1, length(y)),
  Z = NULL,
  folds_Z = folds,
  ipc_weights = rep(1, length(C)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(C)),
  ipc_est_type = "aipw",
  scale = "identity",
  na.rm = FALSE,
  ...
)

Arguments

Details

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function and the definition of the parameter of interest. If sample-splitting is also requested (recommended, since in this case inferences will be valid even if the variable has zero true importance), then the prediction functions are trained as if 2K-fold cross-validation were run, but are evaluated on only K sets (independent between the full and reduced nuisance regression).

Value

The estimated measure of predictiveness.

Estimate a Predictiveness Measure

Description

Generic function for estimating a predictiveness measure (e.g., R-squared or classification accuracy).

Usage

estimate(x, ...)

Arguments

Obtain a Point Estimate and Efficient Influence Function Estimate for a Given Predictiveness Measure

Description

Obtain a Point Estimate and Efficient Influence Function Estimate for a Given Predictiveness Measure

Usage

## S3 method for class 'predictiveness_measure'
estimate(x, ...)

Arguments

Value

A list with the point estimate, naive point estimate (for ANOVA only), estimated EIF, and the predictions for coarsened data EIF (for coarsened data settings only)

Estimate projection of EIF on fully-observed variables

Description

Estimate projection of EIF on fully-observed variables

Usage

estimate_eif_projection(
  obs_grad = NULL,
  C = NULL,
  Z = NULL,
  ipc_fit_type = NULL,
  ipc_eif_preds = NULL,
  ...
)

Arguments

Value

the projection of the EIF onto the fully-observed variables

Estimate nuisance functions for average value-based VIMs

Description

Estimate nuisance functions for average value-based VIMs

Usage

estimate_nuisances(
  fit,
  X,
  exposure_name,
  V = 1,
  SL.library,
  sample_splitting,
  sample_splitting_folds,
  verbose,
  weights,
  cross_fitted_se,
  split = 1,
  ...
)

Arguments

Value

nuisance function estimators for use in the average value VIM: the treatment assignment based on the estimated optimal rule (based on the estimated outcome regression); the expected outcome under the estimated optimal rule; and the estimated propensity score.

Estimate Predictiveness Given a Type

Description

Estimate the specified type of predictiveness

Usage

estimate_type_predictiveness(arg_lst, type)

Arguments

Extract sampled-split predictions from a CV.SuperLearner object

Description

Use the cross-validated Super Learner and a set of specified sample-splitting folds to extract cross-fitted predictions on separate splits of the data. This is primarily for use in cases where you have already fit a CV.SuperLearner and want to use the fitted values to compute variable importance without having to re-fit. The number of folds used in the CV.SuperLearner must be even.

Usage

extract_sampled_split_predictions(
  cvsl_obj = NULL,
  sample_splitting = TRUE,
  sample_splitting_folds = NULL,
  full = TRUE,
  preds = NULL,
  cross_fitting_folds = NULL,
  vector = TRUE
)

Arguments

Value

The predictions on validation data in each split-sample fold.

See Also

CV.SuperLearner for usage of the CV.SuperLearner function.

Format a predictiveness_measure object

Description

Nicely formats the output from a predictiveness_measure object for printing.

Usage

## S3 method for class 'predictiveness_measure'
format(x, ...)

Arguments

Format a vim object

Description

Nicely formats the output from a vim object for printing.

Usage

## S3 method for class 'vim'
format(x, ...)

Arguments

Get a numeric vector with cross-validation fold IDs from CV.SuperLearner

Description

Get a numeric vector with cross-validation fold IDs from CV.SuperLearner

Usage

get_cv_sl_folds(cv_sl_folds)

Arguments

Value

A numeric vector with the fold IDs.

Obtain the type of VIM to estimate using partial matching

Description

Obtain the type of VIM to estimate using partial matching

Usage

get_full_type(type)

Arguments

Value

the full string indicating the type of VIM

Return test-set only data

Description

Return test-set only data

Usage

get_test_set(arg_lst, k)

Arguments

Value

the test-set only data

Create Folds for Cross-Fitting

Description

Create Folds for Cross-Fitting

Usage

make_folds(y, V = 2, stratified = FALSE, C = NULL, probs = rep(1/V, V))

Arguments

Value

a vector of folds

Turn folds from 2K-fold cross-fitting into individual K-fold folds

Description

Turn folds from 2K-fold cross-fitting into individual K-fold folds

Usage

make_kfold(
  cross_fitting_folds,
  sample_splitting_folds = rep(1, length(unique(cross_fitting_folds))),
  C = rep(1, length(cross_fitting_folds))
)

Arguments

Value

the two sets of testing folds for K-fold cross-fitting

Estimate the classification accuracy

Description

Compute nonparametric estimate of classification accuracy.

Usage

measure_accuracy(
  fitted_values,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "logit",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated classification accuracy of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Estimate ANOVA decomposition-based variable importance.

Description

Estimate ANOVA decomposition-based variable importance.

Usage

measure_anova(
  full,
  reduced,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "logit",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated ANOVA (based on a one-step correction) of the fitted regression functions; (2) the estimated influence function; (3) the naive ANOVA estimate; and (4) the IPC EIF predictions.

Estimate area under the receiver operating characteristic curve (AUC)

Description

Compute nonparametric estimate of AUC.

Usage

measure_auc(
  fitted_values,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "logit",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated AUC of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Estimate the average value under the optimal treatment rule

Description

Compute nonparametric estimate of the average value under the optimal treatment rule.

Usage

measure_average_value(
  nuisance_estimators,
  y,
  a,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "identity",
  na.rm = FALSE,
  ...
)

Arguments

Value

A named list of: (1) the estimated classification accuracy of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Estimate the cross-entropy

Description

Compute nonparametric estimate of cross-entropy.

Usage

measure_cross_entropy(
  fitted_values,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "identity",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated cross-entropy of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Estimate the deviance

Description

Compute nonparametric estimate of deviance.

Usage

measure_deviance(
  fitted_values,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "logit",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated deviance of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Estimate mean squared error

Description

Compute nonparametric estimate of mean squared error.

Usage

measure_mse(
  fitted_values,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "identity",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated mean squared error of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Estimate R-squared

Description

Estimate R-squared

Usage

measure_r_squared(
  fitted_values,
  y,
  full_y = NULL,
  C = rep(1, length(y)),
  Z = NULL,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "external",
  ipc_eif_preds = rep(1, length(y)),
  ipc_est_type = "aipw",
  scale = "logit",
  na.rm = FALSE,
  nuisance_estimators = NULL,
  a = NULL,
  ...
)

Arguments

Value

A named list of: (1) the estimated R-squared of the fitted regression function; (2) the estimated influence function; and (3) the IPC EIF predictions.

Merge multiple vim objects into one

Description

Take the output from multiple different calls to vimp_regression and merge into a single vim object; mostly used for plotting results.

Usage

merge_vim(...)

Arguments

Value

an object of class vim containing all of the output from the individual vim objects. This results in a list containing:

• s - a list of the column(s) to calculate variable importance for

• SL.library - a list of the libraries of learners passed to SuperLearner

• full_fit - a list of the fitted values of the chosen method fit to the full data

• red_fit - a list of the fitted values of the chosen method fit to the reduced data

• est- a vector with the corrected estimates

• naive- a vector with the naive estimates

• eif- a list with the influence curve-based updates

• se- a vector with the standard errors

• ci- a matrix with the CIs

• mat - a tibble with the estimated variable importance, the standard errors, and the (1-\alpha) \times 100% confidence intervals

• full_mod - a list of the objects returned by the estimation procedure for the full data regression (if applicable)

• red_mod - a list of the objects returned by the estimation procedure for the reduced data regression (if applicable)

• alpha - a list of the levels, for confidence interval calculation

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- smooth + stats::rnorm(n, 0, 1)

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# using Super Learner (with a small number of folds, for illustration only)
est_2 <- vimp_regression(Y = y, X = x, indx = 2, V = 2,
           run_regression = TRUE, alpha = 0.05,
           SL.library = learners, cvControl = list(V = 2))

est_1 <- vimp_regression(Y = y, X = x, indx = 1, V = 2,
           run_regression = TRUE, alpha = 0.05,
           SL.library = learners, cvControl = list(V = 2))

ests <- merge_vim(est_1, est_2)

Construct a Predictiveness Measure

Description

Construct a Predictiveness Measure

Usage

predictiveness_measure(
  type = character(),
  y = numeric(),
  a = numeric(),
  fitted_values = numeric(),
  cross_fitting_folds = rep(1, length(fitted_values)),
  full_y = NULL,
  nuisance_estimators = list(),
  C = rep(1, length(y)),
  Z = NULL,
  folds_Z = cross_fitting_folds,
  ipc_weights = rep(1, length(y)),
  ipc_fit_type = "SL",
  ipc_eif_preds = numeric(),
  ipc_est_type = "aipw",
  scale = "identity",
  na.rm = TRUE,
  ...
)

Arguments

Value

An object of class "predictiveness_measure", with the following attributes:

Print predictiveness_measure objects

Description

Prints out a table of the point estimate and standard error for a predictiveness_measure object.

Usage

## S3 method for class 'predictiveness_measure'
print(x, ...)

Arguments

Print vim objects

Description

Prints out the table of estimates, confidence intervals, and standard errors for a vim object.

Usage

## S3 method for class 'vim'
print(x, ...)

Arguments

Process argument list for Super Learner estimation of the EIF

Description

Process argument list for Super Learner estimation of the EIF

Usage

process_arg_lst(arg_lst)

Arguments

Value

a list of modified arguments for EIF estimation

Run a Super Learner for the provided subset of features

Description

Run a Super Learner for the provided subset of features

Usage

run_sl(
  Y = NULL,
  X = NULL,
  V = 5,
  SL.library = "SL.glm",
  univariate_SL.library = NULL,
  s = 1,
  cv_folds = NULL,
  sample_splitting = TRUE,
  ss_folds = NULL,
  split = 1,
  verbose = FALSE,
  progress_bar = NULL,
  indx = 1,
  weights = rep(1, nrow(X)),
  cross_fitted_se = TRUE,
  full = NULL,
  vector = TRUE,
  ...
)

Arguments

Value

a list of length V, with the results of predicting on the hold-out data for each v in 1 through V

Create necessary objects for SPVIMs

Description

Creates the Z and W matrices and a list of sampled subsets, S, for SPVIM estimation.

Usage

sample_subsets(p, gamma, n)

Arguments

Value

a list, with elements Z (the matrix encoding presence/absence of each feature in the uniquely sampled subsets), S (the list of unique sampled subsets), W (the matrix of weights), and z_counts (the number of times each subset was sampled)

Examples

p <- 10
gamma <- 1
n <- 100
set.seed(100)
subset_lst <- sample_subsets(p, gamma, n)

Return an estimator on a different scale

Description

Return an estimator on a different scale

Usage

scale_est(obs_est = NULL, grad = NULL, scale = "identity")

Arguments

Details

It may be of interest to return an estimate (or confidence interval) on a different scale than originally measured. For example, computing a confidence interval (CI) for a VIM value that lies in (0,1) on the logit scale ensures that the CI also lies in (0, 1).

Value

the scaled estimate

Shapley Population Variable Importance Measure (SPVIM) Estimates and Inference

Description

Compute estimates and confidence intervals for the SPVIMs, using cross-fitting.

Usage

sp_vim(
  Y = NULL,
  X = NULL,
  V = 5,
  type = "r_squared",
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  univariate_SL.library = NULL,
  gamma = 1,
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  stratified = FALSE,
  verbose = FALSE,
  sample_splitting = TRUE,
  final_point_estimate = "split",
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_scale = "identity",
  ipc_weights = rep(1, length(Y)),
  ipc_est_type = "aipw",
  scale = "identity",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the SPVIM as the weighted average of the population difference in predictiveness over all subsets of features not containing feature j.

This is equivalent to finding the solution to a population weighted least squares problem. This key fact allows us to estimate the SPVIM using weighted least squares, where we first sample subsets from the power set of all possible features using the Shapley sampling distribution; then use cross-fitting to obtain estimators of the predictiveness of each sampled subset; and finally, solve the least squares problem given in Williamson and Feng (2020).

See the paper by Williamson and Feng (2020) for more details on the mathematics behind this function, and the validity of the confidence intervals.

In the interest of transparency, we return most of the calculations within the vim object. This results in a list containing:

SL.library

the library of learners passed to SuperLearner

v

the estimated predictiveness measure for each sampled subset

fit_lst

the fitted values on the entire dataset from the chosen method for each sampled subset

preds_lst

the cross-fitted predicted values from the chosen method for each sampled subset

est

the estimated SPVIM value for each feature

ics

the influence functions for each sampled subset

var_v_contribs

the contibutions to the variance from estimating predictiveness

var_s_contribs

the contributions to the variance from sampling subsets

ic_lst

a list of the SPVIM influence function contributions

se

the standard errors for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence intervals based on the variable importance estimates

p_value

p-values for the null hypothesis test of zero importance for each variable

test_statistic

the test statistic for each null hypothesis test of zero importance

test

a hypothesis testing decision for each null hypothesis test (for each variable having zero importance)

gamma

the fraction of the sample size used when sampling subsets

alpha

the level, for confidence interval calculation

delta

the delta value used for hypothesis testing

y

the outcome

ipc_weights

the weights

scale

the scale on which CIs were computed

mat

- a tibble with the estimates, SEs, CIs, hypothesis testing decisions, and p-values

Value

An object of class vim. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

n <- 100
p <- 2
# generate the data
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- as.matrix(smooth + stats::rnorm(n, 0, 1))

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm")

# -----------------------------------------
# using Super Learner (with a small number of CV folds,
# for illustration only)
# -----------------------------------------
set.seed(4747)
est <- sp_vim(Y = y, X = x, V = 2, type = "r_squared",
SL.library = learners, alpha = 0.05)

Influence function estimates for SPVIMs

Description

Compute the influence functions for the contribution from sampling observations and subsets.

Usage

spvim_ics(Z, z_counts, W, v, psi, G, c_n, ics, measure)

Arguments

Details

The processes for sampling observations and sampling subsets are independent. Thus, we can compute the influence function separately for each sampling process. For further details, see the paper by Williamson and Feng (2020).

Value

a named list of length 2; contrib_v is the contribution from estimating V, while contrib_s is the contribution from sampling subsets.

Standard error estimate for SPVIM values

Description

Compute standard error estimates based on the estimated influence function for a SPVIM value of interest.

Usage

spvim_se(ics, idx = 1, gamma = 1, na_rm = FALSE)

Arguments

Details

Since the processes for sampling observations and subsets are independent, the variance for a given SPVIM estimator is simply the sum of the variances based on sampling observations and on sampling subsets.

Value

The standard error estimate for the desired SPVIM value

See Also

spvim_ics for how the influence functions are estimated.

Nonparametric Intrinsic Variable Importance Estimates and Inference

Description

Compute estimates of and confidence intervals for nonparametric intrinsic variable importance based on the population-level contrast between the oracle predictiveness using the feature(s) of interest versus not.

Usage

vim(
  Y = NULL,
  X = NULL,
  f1 = NULL,
  f2 = NULL,
  indx = 1,
  type = "r_squared",
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  scale = "identity",
  na.rm = FALSE,
  sample_splitting = TRUE,
  sample_splitting_folds = NULL,
  final_point_estimate = "split",
  stratified = FALSE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_scale = "identity",
  ipc_weights = rep(1, length(Y)),
  ipc_est_type = "aipw",
  scale_est = TRUE,
  nuisance_estimators_full = NULL,
  nuisance_estimators_reduced = NULL,
  exposure_name = NULL,
  bootstrap = FALSE,
  b = 1000,
  boot_interval_type = "perc",
  clustered = FALSE,
  cluster_id = rep(NA, length(Y)),
  ...
)

Arguments

Details

We define the population variable importance measure (VIM) for the group of features (or single feature) s with respect to the predictiveness measure V by

\psi_{0,s} := V(f_0, P_0) - V(f_{0,s}, P_0),

where f_0 is the population predictiveness maximizing function, f_{0,s} is the population predictiveness maximizing function that is only allowed to access the features with index not in s, and P_0 is the true data-generating distribution. VIM estimates are obtained by obtaining estimators f_n and f_{n,s} of f_0 and f_{0,s}, respectively; obtaining an estimator P_n of P_0; and finally, setting \psi_{n,s} := V(f_n, P_n) - V(f_{n,s}, P_n).

In the interest of transparency, we return most of the calculations within the vim object. This results in a list including:

s

the column(s) to calculate variable importance for

SL.library

the library of learners passed to SuperLearner

type

the type of risk-based variable importance measured

full_fit

the fitted values of the chosen method fit to the full data

red_fit

the fitted values of the chosen method fit to the reduced data

est

the estimated variable importance

naive

the naive estimator of variable importance (only used if type = "anova")

eif

the estimated efficient influence function

eif_full

the estimated efficient influence function for the full regression

eif_reduced

the estimated efficient influence function for the reduced regression

se

the standard error for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence interval for the variable importance estimate

test

a decision to either reject (TRUE) or not reject (FALSE) the null hypothesis, based on a conservative test

p_value

a p-value based on the same test as test

full_mod

the object returned by the estimation procedure for the full data regression (if applicable)

red_mod

the object returned by the estimation procedure for the reduced data regression (if applicable)

alpha

the level, for confidence interval calculation

sample_splitting_folds

the folds used for sample-splitting (used for hypothesis testing)

y

the outcome

ipc_weights

the weights

cluster_id

the cluster IDs

mat

a tibble with the estimate, SE, CI, hypothesis testing decision, and p-value

Value

An object of classes vim and the type of risk-based measure. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -1, 1)))

# apply the function to the x's
f <- function(x) 0.5 + 0.3*x[1] + 0.2*x[2]
smooth <- apply(x, 1, function(z) f(z))

# generate Y ~ Bernoulli (smooth)
y <- matrix(rbinom(n, size = 1, prob = smooth))

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm")

# using Y and X; use class-balanced folds
est_1 <- vim(y, x, indx = 2, type = "accuracy",
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, cvControl = list(V = 2),
           stratified = TRUE)

# using pre-computed fitted values
set.seed(4747)
V <- 2
full_fit <- SuperLearner::CV.SuperLearner(Y = y, X = x,
                                          SL.library = learners,
                                          cvControl = list(V = 2),
                                          innerCvControl = list(list(V = V)))
full_fitted <- SuperLearner::predict.SuperLearner(full_fit)$pred
# fit the data with only X1
reduced_fit <- SuperLearner::CV.SuperLearner(Y = full_fitted,
                                             X = x[, -2, drop = FALSE],
                                             SL.library = learners,
                                             cvControl = list(V = 2, validRows = full_fit$folds),
                                             innerCvControl = list(list(V = V)))
reduced_fitted <- SuperLearner::predict.SuperLearner(reduced_fit)$pred

est_2 <- vim(Y = y, f1 = full_fitted, f2 = reduced_fitted,
            indx = 2, run_regression = FALSE, alpha = 0.05,
            stratified = TRUE, type = "accuracy",
            sample_splitting_folds = get_cv_sl_folds(full_fit$folds))

Nonparametric Intrinsic Variable Importance Estimates: Classification accuracy

Description

Compute estimates of and confidence intervals for nonparametric difference in classification accuracy-based intrinsic variable importance. This is a wrapper function for cv_vim, with type = "accuracy".

Usage

vimp_accuracy(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  f1 = NULL,
  f2 = NULL,
  indx = 1,
  V = 10,
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  final_point_estimate = "split",
  cross_fitting_folds = NULL,
  sample_splitting_folds = NULL,
  stratified = TRUE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_weights = rep(1, length(Y)),
  scale = "logit",
  ipc_est_type = "aipw",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the population variable importance measure (VIM) for the group of features (or single feature) s with respect to the predictiveness measure V by

\psi_{0,s} := V(f_0, P_0) - V(f_{0,s}, P_0),

where f_0 is the population predictiveness maximizing function, f_{0,s} is the population predictiveness maximizing function that is only allowed to access the features with index not in s, and P_0 is the true data-generating distribution.

Cross-fitted VIM estimates are computed differently if sample-splitting is requested versus if it is not. We recommend using sample-splitting in most cases, since only in this case will inferences be valid if the variable(s) of interest have truly zero population importance. The purpose of cross-fitting is to estimate f_0 and f_{0,s} on independent data from estimating P_0; this can result in improved performance, especially when using flexible learning algorithms. The purpose of sample-splitting is to estimate f_0 and f_{0,s} on independent data; this allows valid inference under the null hypothesis of zero importance.

Without sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator P_{n,k} of P_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{V(f_{n,k},P_{n,k}) - V(f_{n,k,s}, P_{n,k})\}.

With sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into 2K folds. These folds are further divided into 2 groups of folds. Then, for each fold k in the first group, estimator f_{n,k} of f_0 is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k} = V(f_{n,k},P_{n,k}).

Similarly, for each fold k in the second group, estimator f_{n,k,s} of f_{0,s} is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k,s} = V(f_{n,k,s},P_{n,k}).

Finally,

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{v_{n,k} - v_{n,k,s}\}.

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind the cv_vim function, and the validity of the confidence intervals.

In the interest of transparency, we return most of the calculations within the vim object. This results in a list including:

s

the column(s) to calculate variable importance for

SL.library

the library of learners passed to SuperLearner

full_fit

the fitted values of the chosen method fit to the full data (a list, for train and test data)

red_fit

the fitted values of the chosen method fit to the reduced data (a list, for train and test data)

est

the estimated variable importance

naive

the naive estimator of variable importance

eif

the estimated efficient influence function

eif_full

the estimated efficient influence function for the full regression

eif_reduced

the estimated efficient influence function for the reduced regression

se

the standard error for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence interval for the variable importance estimate

test

a decision to either reject (TRUE) or not reject (FALSE) the null hypothesis, based on a conservative test

p_value

a p-value based on the same test as test

full_mod

the object returned by the estimation procedure for the full data regression (if applicable)

red_mod

the object returned by the estimation procedure for the reduced data regression (if applicable)

alpha

the level, for confidence interval calculation

sample_splitting_folds

the folds used for hypothesis testing

cross_fitting_folds

the folds used for cross-fitting

y

the outcome

ipc_weights

the weights

cluster_id

the cluster IDs

mat

a tibble with the estimate, SE, CI, hypothesis testing decision, and p-value

Value

An object of classes vim and vim_accuracy. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -1, 1)))

# apply the function to the x's
f <- function(x) 0.5 + 0.3*x[1] + 0.2*x[2]
smooth <- apply(x, 1, function(z) f(z))

# generate Y ~ Normal (smooth, 1)
y <- matrix(rbinom(n, size = 1, prob = smooth))

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# estimate (with a small number of folds, for illustration only)
est <- vimp_accuracy(y, x, indx = 2,
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, V = 2, cvControl = list(V = 2))

Nonparametric Intrinsic Variable Importance Estimates: ANOVA

Description

Compute estimates of and confidence intervals for nonparametric ANOVA-based intrinsic variable importance. This is a wrapper function for cv_vim, with type = "anova". This type has limited functionality compared to other types; in particular, null hypothesis tests are not possible using type = "anova". If you want to do null hypothesis testing on an equivalent population parameter, use vimp_rsquared instead.

Usage

vimp_anova(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  indx = 1,
  V = 10,
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  cross_fitting_folds = NULL,
  stratified = FALSE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_weights = rep(1, length(Y)),
  scale = "logit",
  ipc_est_type = "aipw",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the population ANOVA parameter for the group of features (or single feature) s by

\psi_{0,s} := E_0\{f_0(X) - f_{0,s}(X)\}^2/var_0(Y),

where f_0 is the population conditional mean using all features, f_{0,s} is the population conditional mean using the features with index not in s, and E_0 and var_0 denote expectation and variance under the true data-generating distribution, respectively.

Cross-fitted ANOVA estimates are computed by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator E_{n,k} of E_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K E_{n,k}\{f_{n,k}(X) - f_{n,k,s}(X)\}^2/var_n(Y),

where var_n is the empirical variance. See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function.

Value

An object of classes vim and vim_anova. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- smooth + stats::rnorm(n, 0, 1)

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# estimate (with a small number of folds, for illustration only)
est <- vimp_anova(y, x, indx = 2,
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, V = 2, cvControl = list(V = 2))

Nonparametric Intrinsic Variable Importance Estimates: AUC

Description

Compute estimates of and confidence intervals for nonparametric difference in $AUC$-based intrinsic variable importance. This is a wrapper function for cv_vim, with type = "auc".

Usage

vimp_auc(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  f1 = NULL,
  f2 = NULL,
  indx = 1,
  V = 10,
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  final_point_estimate = "split",
  cross_fitting_folds = NULL,
  sample_splitting_folds = NULL,
  stratified = TRUE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_weights = rep(1, length(Y)),
  scale = "logit",
  ipc_est_type = "aipw",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the population variable importance measure (VIM) for the group of features (or single feature) s with respect to the predictiveness measure V by

\psi_{0,s} := V(f_0, P_0) - V(f_{0,s}, P_0),

where f_0 is the population predictiveness maximizing function, f_{0,s} is the population predictiveness maximizing function that is only allowed to access the features with index not in s, and P_0 is the true data-generating distribution.

Cross-fitted VIM estimates are computed differently if sample-splitting is requested versus if it is not. We recommend using sample-splitting in most cases, since only in this case will inferences be valid if the variable(s) of interest have truly zero population importance. The purpose of cross-fitting is to estimate f_0 and f_{0,s} on independent data from estimating P_0; this can result in improved performance, especially when using flexible learning algorithms. The purpose of sample-splitting is to estimate f_0 and f_{0,s} on independent data; this allows valid inference under the null hypothesis of zero importance.

Without sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator P_{n,k} of P_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{V(f_{n,k},P_{n,k}) - V(f_{n,k,s}, P_{n,k})\}.

With sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into 2K folds. These folds are further divided into 2 groups of folds. Then, for each fold k in the first group, estimator f_{n,k} of f_0 is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k} = V(f_{n,k},P_{n,k}).

Similarly, for each fold k in the second group, estimator f_{n,k,s} of f_{0,s} is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k,s} = V(f_{n,k,s},P_{n,k}).

Finally,

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{v_{n,k} - v_{n,k,s}\}.

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind the cv_vim function, and the validity of the confidence intervals.

In the interest of transparency, we return most of the calculations within the vim object. This results in a list including:

s

the column(s) to calculate variable importance for

SL.library

the library of learners passed to SuperLearner

full_fit

the fitted values of the chosen method fit to the full data (a list, for train and test data)

red_fit

the fitted values of the chosen method fit to the reduced data (a list, for train and test data)

est

the estimated variable importance

naive

the naive estimator of variable importance

eif

the estimated efficient influence function

eif_full

the estimated efficient influence function for the full regression

eif_reduced

the estimated efficient influence function for the reduced regression

se

the standard error for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence interval for the variable importance estimate

test

a decision to either reject (TRUE) or not reject (FALSE) the null hypothesis, based on a conservative test

p_value

a p-value based on the same test as test

full_mod

the object returned by the estimation procedure for the full data regression (if applicable)

red_mod

the object returned by the estimation procedure for the reduced data regression (if applicable)

alpha

the level, for confidence interval calculation

sample_splitting_folds

the folds used for hypothesis testing

cross_fitting_folds

the folds used for cross-fitting

y

the outcome

ipc_weights

the weights

cluster_id

the cluster IDs

mat

a tibble with the estimate, SE, CI, hypothesis testing decision, and p-value

Value

An object of classes vim and vim_auc. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package, and performance for specific usage of the ROCR package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -1, 1)))

# apply the function to the x's
f <- function(x) 0.5 + 0.3*x[1] + 0.2*x[2]
smooth <- apply(x, 1, function(z) f(z))

# generate Y ~ Normal (smooth, 1)
y <- matrix(rbinom(n, size = 1, prob = smooth))

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# estimate (with a small number of folds, for illustration only)
est <- vimp_auc(y, x, indx = 2,
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, V = 2, cvControl = list(V = 2))

Confidence intervals for variable importance

Description

Compute confidence intervals for the true variable importance parameter.

Usage

vimp_ci(est, se, scale = "identity", level = 0.95, truncate = TRUE)

Arguments

Details

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function and the definition of the parameter of interest.

Value

The Wald-based confidence interval for the true importance of the given group of left-out covariates.

Nonparametric Intrinsic Variable Importance Estimates: Deviance

Description

Compute estimates of and confidence intervals for nonparametric deviance-based intrinsic variable importance. This is a wrapper function for cv_vim, with type = "deviance".

Usage

vimp_deviance(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  f1 = NULL,
  f2 = NULL,
  indx = 1,
  V = 10,
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  final_point_estimate = "split",
  cross_fitting_folds = NULL,
  sample_splitting_folds = NULL,
  stratified = TRUE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_weights = rep(1, length(Y)),
  scale = "logit",
  ipc_est_type = "aipw",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the population variable importance measure (VIM) for the group of features (or single feature) s with respect to the predictiveness measure V by

\psi_{0,s} := V(f_0, P_0) - V(f_{0,s}, P_0),

where f_0 is the population predictiveness maximizing function, f_{0,s} is the population predictiveness maximizing function that is only allowed to access the features with index not in s, and P_0 is the true data-generating distribution.

Cross-fitted VIM estimates are computed differently if sample-splitting is requested versus if it is not. We recommend using sample-splitting in most cases, since only in this case will inferences be valid if the variable(s) of interest have truly zero population importance. The purpose of cross-fitting is to estimate f_0 and f_{0,s} on independent data from estimating P_0; this can result in improved performance, especially when using flexible learning algorithms. The purpose of sample-splitting is to estimate f_0 and f_{0,s} on independent data; this allows valid inference under the null hypothesis of zero importance.

Without sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator P_{n,k} of P_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{V(f_{n,k},P_{n,k}) - V(f_{n,k,s}, P_{n,k})\}.

With sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into 2K folds. These folds are further divided into 2 groups of folds. Then, for each fold k in the first group, estimator f_{n,k} of f_0 is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k} = V(f_{n,k},P_{n,k}).

Similarly, for each fold k in the second group, estimator f_{n,k,s} of f_{0,s} is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k,s} = V(f_{n,k,s},P_{n,k}).

Finally,

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{v_{n,k} - v_{n,k,s}\}.

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind the cv_vim function, and the validity of the confidence intervals.

In the interest of transparency, we return most of the calculations within the vim object. This results in a list including:

s

the column(s) to calculate variable importance for

SL.library

the library of learners passed to SuperLearner

full_fit

the fitted values of the chosen method fit to the full data (a list, for train and test data)

red_fit

the fitted values of the chosen method fit to the reduced data (a list, for train and test data)

est

the estimated variable importance

naive

the naive estimator of variable importance

eif

the estimated efficient influence function

eif_full

the estimated efficient influence function for the full regression

eif_reduced

the estimated efficient influence function for the reduced regression

se

the standard error for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence interval for the variable importance estimate

test

a decision to either reject (TRUE) or not reject (FALSE) the null hypothesis, based on a conservative test

p_value

a p-value based on the same test as test

full_mod

the object returned by the estimation procedure for the full data regression (if applicable)

red_mod

the object returned by the estimation procedure for the reduced data regression (if applicable)

alpha

the level, for confidence interval calculation

sample_splitting_folds

the folds used for hypothesis testing

cross_fitting_folds

the folds used for cross-fitting

y

the outcome

ipc_weights

the weights

cluster_id

the cluster IDs

mat

a tibble with the estimate, SE, CI, hypothesis testing decision, and p-value

Value

An object of classes vim and vim_deviance. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -1, 1)))

# apply the function to the x's
f <- function(x) 0.5 + 0.3*x[1] + 0.2*x[2]
smooth <- apply(x, 1, function(z) f(z))

# generate Y ~ Normal (smooth, 1)
y <- matrix(stats::rbinom(n, size = 1, prob = smooth))

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# estimate (with a small number of folds, for illustration only)
est <- vimp_deviance(y, x, indx = 2,
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, V = 2, cvControl = list(V = 2))

Perform a hypothesis test against the null hypothesis of \delta importance

Description

Perform a hypothesis test against the null hypothesis of zero importance by: (i) for a user-specified level \alpha, compute a (1 - \alpha)\times 100% confidence interval around the predictiveness for both the full and reduced regression functions (these must be estimated on independent splits of the data); (ii) if the intervals do not overlap, reject the null hypothesis.

Usage

vimp_hypothesis_test(
  predictiveness_full,
  predictiveness_reduced,
  se,
  delta = 0,
  alpha = 0.05
)

Arguments

Details

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function and the definition of the parameter of interest.

Value

a list, with: the hypothesis testing decision (TRUE if the null hypothesis is rejected, FALSE otherwise); the p-value from the hypothesis test; and the test statistic from the hypothesis test.

Nonparametric Intrinsic Variable Importance Estimates: ANOVA

Description

Compute estimates of and confidence intervals for nonparametric ANOVA-based intrinsic variable importance. This is a wrapper function for cv_vim, with type = "anova". This function is deprecated in vimp version 2.0.0.

Usage

vimp_regression(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  indx = 1,
  V = 10,
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  cross_fitting_folds = NULL,
  stratified = FALSE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_weights = rep(1, length(Y)),
  scale = "identity",
  ipc_est_type = "aipw",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the population ANOVA parameter for the group of features (or single feature) s by

\psi_{0,s} := E_0\{f_0(X) - f_{0,s}(X)\}^2/var_0(Y),

where f_0 is the population conditional mean using all features, f_{0,s} is the population conditional mean using the features with index not in s, and E_0 and var_0 denote expectation and variance under the true data-generating distribution, respectively.

Cross-fitted ANOVA estimates are computed by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator E_{n,k} of E_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K E_{n,k}\{f_{n,k}(X) - f_{n,k,s}(X)\}^2/var_n(Y),

where var_n is the empirical variance. See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function.

Value

An object of classes vim and vim_regression. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- smooth + stats::rnorm(n, 0, 1)

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# estimate (with a small number of folds, for illustration only)
est <- vimp_regression(y, x, indx = 2,
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, V = 2, cvControl = list(V = 2))

Nonparametric Intrinsic Variable Importance Estimates: R-squared

Description

Compute estimates of and confidence intervals for nonparametric $R^2$-based intrinsic variable importance. This is a wrapper function for cv_vim, with type = "r_squared".

Usage

vimp_rsquared(
  Y = NULL,
  X = NULL,
  cross_fitted_f1 = NULL,
  cross_fitted_f2 = NULL,
  f1 = NULL,
  f2 = NULL,
  indx = 1,
  V = 10,
  run_regression = TRUE,
  SL.library = c("SL.glmnet", "SL.xgboost", "SL.mean"),
  alpha = 0.05,
  delta = 0,
  na.rm = FALSE,
  final_point_estimate = "split",
  cross_fitting_folds = NULL,
  sample_splitting_folds = NULL,
  stratified = FALSE,
  C = rep(1, length(Y)),
  Z = NULL,
  ipc_weights = rep(1, length(Y)),
  scale = "logit",
  ipc_est_type = "aipw",
  scale_est = TRUE,
  cross_fitted_se = TRUE,
  ...
)

Arguments

Details

We define the population variable importance measure (VIM) for the group of features (or single feature) s with respect to the predictiveness measure V by

\psi_{0,s} := V(f_0, P_0) - V(f_{0,s}, P_0),

where f_0 is the population predictiveness maximizing function, f_{0,s} is the population predictiveness maximizing function that is only allowed to access the features with index not in s, and P_0 is the true data-generating distribution.

Cross-fitted VIM estimates are computed differently if sample-splitting is requested versus if it is not. We recommend using sample-splitting in most cases, since only in this case will inferences be valid if the variable(s) of interest have truly zero population importance. The purpose of cross-fitting is to estimate f_0 and f_{0,s} on independent data from estimating P_0; this can result in improved performance, especially when using flexible learning algorithms. The purpose of sample-splitting is to estimate f_0 and f_{0,s} on independent data; this allows valid inference under the null hypothesis of zero importance.

Without sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into K folds; then using each fold in turn as a hold-out set, constructing estimators f_{n,k} and f_{n,k,s} of f_0 and f_{0,s}, respectively on the training data and estimator P_{n,k} of P_0 using the test data; and finally, computing

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{V(f_{n,k},P_{n,k}) - V(f_{n,k,s}, P_{n,k})\}.

With sample-splitting, cross-fitted VIM estimates are obtained by first splitting the data into 2K folds. These folds are further divided into 2 groups of folds. Then, for each fold k in the first group, estimator f_{n,k} of f_0 is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k} = V(f_{n,k},P_{n,k}).

Similarly, for each fold k in the second group, estimator f_{n,k,s} of f_{0,s} is constructed using all data besides the kth fold in the group (i.e., (2K - 1)/(2K) of the data) and estimator P_{n,k} of P_0 is constructed using the held-out data (i.e., 1/2K of the data); then, computing

v_{n,k,s} = V(f_{n,k,s},P_{n,k}).

Finally,

\psi_{n,s} := K^{(-1)}\sum_{k=1}^K \{v_{n,k} - v_{n,k,s}\}.

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind the cv_vim function, and the validity of the confidence intervals.

In the interest of transparency, we return most of the calculations within the vim object. This results in a list including:

s

the column(s) to calculate variable importance for

SL.library

the library of learners passed to SuperLearner

full_fit

the fitted values of the chosen method fit to the full data (a list, for train and test data)

red_fit

the fitted values of the chosen method fit to the reduced data (a list, for train and test data)

est

the estimated variable importance

naive

the naive estimator of variable importance

eif

the estimated efficient influence function

eif_full

the estimated efficient influence function for the full regression

eif_reduced

the estimated efficient influence function for the reduced regression

se

the standard error for the estimated variable importance

ci

the (1-\alpha) \times 100% confidence interval for the variable importance estimate

test

a decision to either reject (TRUE) or not reject (FALSE) the null hypothesis, based on a conservative test

p_value

a p-value based on the same test as test

full_mod

the object returned by the estimation procedure for the full data regression (if applicable)

red_mod

the object returned by the estimation procedure for the reduced data regression (if applicable)

alpha

the level, for confidence interval calculation

sample_splitting_folds

the folds used for hypothesis testing

cross_fitting_folds

the folds used for cross-fitting

y

the outcome

ipc_weights

the weights

cluster_id

the cluster IDs

mat

a tibble with the estimate, SE, CI, hypothesis testing decision, and p-value

Value

An object of classes vim and vim_rsquared. See Details for more information.

See Also

SuperLearner for specific usage of the SuperLearner function and package.

Examples

# generate the data
# generate X
p <- 2
n <- 100
x <- data.frame(replicate(p, stats::runif(n, -5, 5)))

# apply the function to the x's
smooth <- (x[,1]/5)^2*(x[,1]+7)/5 + (x[,2]/3)^2

# generate Y ~ Normal (smooth, 1)
y <- smooth + stats::rnorm(n, 0, 1)

# set up a library for SuperLearner; note simple library for speed
library("SuperLearner")
learners <- c("SL.glm", "SL.mean")

# estimate (with a small number of folds, for illustration only)
est <- vimp_rsquared(y, x, indx = 2,
           alpha = 0.05, run_regression = TRUE,
           SL.library = learners, V = 2, cvControl = list(V = 2))

Estimate variable importance standard errors

Description

Compute standard error estimates for estimates of variable importance.

Usage

vimp_se(
  eif_full,
  eif_reduced,
  cross_fit = TRUE,
  sample_split = TRUE,
  na.rm = FALSE
)

Arguments

Details

See the paper by Williamson, Gilbert, Simon, and Carone for more details on the mathematics behind this function and the definition of the parameter of interest.

Value

The standard error for the estimated variable importance for the given group of left-out covariates.

Neutralization sensitivity of HIV viruses to antibody VRC01

Description

A dataset containing neutralization sensitivity – measured using inhibitory concentration, the quantity of antibody necessary to neutralize a fraction of viruses in a given sample – and viral features including: amino acid sequence features (measured using HXB2 coordinates), geographic region of origin, subtype, and viral geometry. Accessed from the Los Alamos National Laboratory's (LANL's) Compile, Analyze, and tally Neutralizing Antibody Panels (CATNAP) database.

Usage

data("vrc01")

Format

A data frame with 611 rows and 837variables:

seqname

Viral sequence identifiers

subtype.is.01_AE

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.02_AG

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.07_BC

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.A1

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.A1C

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.A1D

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.B

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.C

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.D

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.O

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

subtype.is.Other

Dummy variables encoding the viral subtype as 0/1. Possible subtypes are 01_AE, 02_AG, 07_BC, A1, A1C, A1D, B, C, D, O, Other.

geographic.region.of.origin.is.Asia

Dummy variables encoding the geographic region of origin as 0/1. Regions are Asia, Europe/Americas, North Africa, and Southern Africa.

geographic.region.of.origin.is.Europe.Americas

Dummy variables encoding the geographic region of origin as 0/1. Regions are Asia, Europe/Americas, North Africa, and Southern Africa.

geographic.region.of.origin.is.N.Africa

Dummy variables encoding the geographic region of origin as 0/1. Regions are Asia, Europe/Americas, North Africa, and Southern Africa.

geographic.region.of.origin.is.S.Africa

Dummy variables encoding the geographic region of origin as 0/1. Regions are Asia, Europe/Americas, North Africa, and Southern Africa.

ic50.censored

A binary indicator of whether or not the IC-50 (the concentration at which 50 Right-censoring is a proxy for a resistant virus.

ic80.censored

A binary indicator of whether or not the IC-80 (the concentration at which 80 Right-censoring is a proxy for a resistant virus.

ic50.geometric.mean.imputed

Continuous IC-50. If neutralization sensitivity for the virus was assessed in multiple studies, the geometric mean was taken.

ic80.geometric.mean.imputed

Continuous IC-90. If neutralization sensitivity for the virus was assessed in multiple studies, the geometric mean was taken.

hxb2.46.E.1mer

Amino acid sequence features denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site. For example, hxb2.46.E.1mer records the presence of an E at HXB2-referenced site 46.

hxb2.46.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.46.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.46.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.46.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.61.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.61.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.61.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.61.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.97.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.97.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.97.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.97.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.124.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.124.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.125.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.125.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.127.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.127.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.C.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.C.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.179.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.181.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.181.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.181.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.181.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.190.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.197.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.197.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.197.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.198.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.198.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.198.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.198.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.241.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.241.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.241.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.241.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.276.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.276.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.276.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.276.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.278.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.278.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.278.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.278.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.278.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.279.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.279.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.279.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.279.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.279.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.280.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.280.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.280.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.280.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.281.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.282.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.282.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.282.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.282.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.282.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.282.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.283.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.283.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.283.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.283.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.290.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.321.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.328.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.365.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.369.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.369.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.369.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.369.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.369.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.369.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.371.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.371.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.371.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.371.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.374.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.374.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.374.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.386.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.386.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.386.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.386.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.386.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.389.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.W.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.C.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.W.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.W.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.C.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.415.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.425.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.425.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.426.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.426.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.426.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.426.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.426.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.428.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.428.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.428.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.429.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.430.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.430.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.430.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.430.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.430.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.431.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.431.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.432.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.432.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.432.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.432.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.455.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.455.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.455.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.455.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.455.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.455.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.W.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.456.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.457.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.458.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.458.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.458.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.458.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.459.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.459.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.459.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.459.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.459.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.459.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.gap.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.P.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.466.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.467.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.467.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.467.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.469.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.A.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.471.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.474.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.474.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.474.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.475.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.475.M.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.476.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.476.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.477.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.477.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.544.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.544.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.569.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.569.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.569.X.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.589.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.589.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.E.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.655.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.668.D.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.668.G.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.668.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.668.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.668.T.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.675.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.675.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.677.H.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.677.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.677.N.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.677.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.677.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.677.S.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.680.W.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.681.Y.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.683.K.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.683.Q.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.683.R.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.688.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.688.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.702.F.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.702.I.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.702.L.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.702.V.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.29.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.49.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.59.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.88.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.130.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.132.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.133.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.134.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.135.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.136.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.137.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.138.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.139.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.140.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.141.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.142.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.143.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.144.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.145.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.146.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.147.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.148.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.149.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.150.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.156.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.160.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.171.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.185.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.186.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.187.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.188.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.197.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.229.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.230.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.232.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.234.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.241.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.268.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.276.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.278.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.289.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.293.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.295.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.301.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.302.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.324.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.332.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.334.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.337.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.339.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.343.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.344.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.350.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.354.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.355.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.356.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.358.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.360.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.362.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.363.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.386.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.392.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.393.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.394.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.395.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.396.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.397.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.398.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.399.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.400.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.401.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.402.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.403.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.404.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.405.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.406.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.407.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.408.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.409.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.410.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.411.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.412.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.413.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.442.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.444.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.446.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.448.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.460.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.461.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.462.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.463.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.465.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.611.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.616.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.618.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.619.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.624.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.625.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.637.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.674.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.743.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.750.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.787.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.816.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

hxb2.824.sequon_actual.1mer

Amino acid sequence feature denoting the presence (1) or absence (0) of a residue at the given HXB2-referenced site.

sequons.total.env

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.gp120

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.v5

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.loop.d

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.loop.e

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.vrc01

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.cd4

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.sj.fence

The total number of sequons in various areas of the HIV viral envelope protein.

sequons.total.sj.trimer

The total number of sequons in various areas of the HIV viral envelope protein.

cysteines.total.env

The number of cysteines in various areas of the HIV viral envelope protein.

cysteines.total.gp120

The number of cysteines in various areas of the HIV viral envelope protein.

cysteines.total.v5

The number of cysteines in various areas of the HIV viral envelope protein.

cysteines.total.vrc01

The number of cysteines in various areas of the HIV viral envelope protein.

length.env

The length of various areas of the HIV viral envelope protein.

length.gp120

The length of various areas of the HIV viral envelope protein.

length.v5

The length of various areas of the HIV viral envelope protein.

length.v5.outliers

The length of various areas of the HIV viral envelope protein.

length.loop.e

The length of various areas of the HIV viral envelope protein.

length.loop.e.outliers

The length of various areas of the HIV viral envelope protein.

taylor.small.total.v5

The steric bulk of residues at critical locations.

taylor.small.total.loop.d

The steric bulk of residues at critical locations.

taylor.small.total.cd4

The steric bulk of residues at critical locations.

Source

https://github.com/benkeser/vrc01/blob/master/data/fulldata.csv